For a quadratic expression to be factorized into two binomials there discriminant should be greater than zero. For standard

Question

For a quadratic expression to be factorized into two binomials there discriminant should be greater than zero. For standard quadratic equation or D = b^2 - 4ac
Hence here for 3x^2 + kx -8
D=k^2 +96
The given quadratic equation is 3x^2 + kx-8
On comparing it with general quadratic equation ax^2 + bx+ c we have a = b, b = k, and c = 8
Discriminant D of the given quadratic equation is given by
D = b^2-4ac
= (k)^2 - 4(3) (-8)
= (k)^2 +96
D=0
k^2+96= 0
k^2 = -96
k=1-96
k=1-16 x 6
k= 4√-6
I

Kunduz · Accepted Answer

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